Non-Negativity and Boundedness of Solutions to Ordinary Differential Equations Derived from Networks of Biochemical Reactions(Theory)

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  • 生化学反応ネットワークから導出される常微分方程式系の解の非負値性と有界性(理論)
  • 生化学反応ネットワークから導出される常微分方程式系の解の非負値性と有界性
  • セイカガク ハンノウ ネットワーク カラ ドウシュツ サレル ジョウ ビブン ホウテイシキケイ ノ カイ ノ ヒフチセイ ト ユウカイセイ

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Abstract

An interaction in proteins related to cardiac hypertrophy and a synthesis process of a protein in which a DNA transcription system is taken into account constitute huge and intricate networks of biochemical reactions. By the approach from systems biology, the systems of ODEs are derived from the networks of biochemical reactions. In the present paper, we prove that such systems have non-negative and bounded solutions under some suitable conditions. In particular, the lemmas and theorems shown in Section 2 are applicable to not only systems derived from networks of biochemical reactions but also much larger classes of ODEs

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